Altitudes and Medians

Hi guys,

So I had a question about altitudes and medians. If two altitudes of a triangle are congruent to each other, then the medians of the corresponding sides are also congruent. Is this statement always true or is there an exception?

Thanks - blahblahblah1234

Last edited by blahblahblah1234; Oct 22nd 2011 at 11:04 AM.
Reason: The problem is solved.

Re: Altitudes and Medians

Originally Posted by blahblahblah1234

Hi guys,

So I had a question about altitudes and medians. If two altitudes of a triangle are congruent to each other, then the medians of the corresponding sides are also congruent. Is this statement always true or is there an exception?

Thanks - blahblahblah1234

note that the area of a triangle is

if is an altitude, then is the side perpendicular to that altitude

so ...

if , what does that say about the lengths of the two corresponding sides, and ?

further ... what kind of triangle would this be, and what can you say about the lengths of the medians to these two corresponding sides?